The Advances in Algebraic Coding Theory

Dear Colleagues,

Coding Theory covers several topics and is a widely studied multidisciplinary subject, involving techniques from computer science, engineering, information theory and mathematics.

From both a theoretical and a computational point of view, algebra has established itself as one of the main reference areas in researching codes, their properties, encoding and decoding algorithms and other related aspects of Coding Theory. The continuous development and increasing relevance of digital data utilization makes Coding Theory a research field of primary interest that needs constant study and updates for keeping up with the technological demands of modern society. In particular, it is essential that messages reach the destination correctly, without errors that can occur due the presence of noise in the communication channel. Therefore, error correction codes are necessary in order to obtain efficient methods for detecting and correcting as many errors as possible.

The aim of the present Special Issue is to encourage the study of algebraic topics related to coding theory, as well as the development of new techniques for detecting and correcting errors, the improvement and analysis of existing error correction codes and also their applications in cryptography. We are soliciting contributions covering a broad range of these topics, including (though not limited to) the following:

- Families of codes and their properties (e.g., general linear and nonlinear codes, cyclic codes, AG codes, LCD codes);

- Analysis of codes in any metric (e.g., Hamming metric, rank metric);

- Optimality (e.g., bounds on parameters, asymptotic behavior of families of algebraic codes);

- Algebraic and computational aspects of the theory underlying codes (e.g., finite fields, cyclotomic polynomials, complexity issues);

- Encoding and decoding procedures;

- Code-based post-quantum cryptography;

- Algebraic construction of quantum codes.

Dr. Nadir Murru
Dr. Alessio Meneghetti
Dr. Danilo Bazzanella
Dr. Stefano Barbero
Guest Editors

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